Electromagnetic form factors of Lithium-6 and Lithium-7 in Halo/Cluster Effective Field Theory*

We study the electromagnetic properties of Lithium-6 (${}^6$Li) and Lithium-7 (${}^7$Li) using effective field theory (EFT) formalism, which treats these nuclei as bound states of point-like nuclear clusters deuteron-alpha and triton-alpha, respectively. The Coulomb interactions are summed to all orders. We compute their electromagnetic form factors to next-to-leading order in EFT for momentum transfers up to 1 fm$^{-1}$. Using available data, we extract low-energy observables, such as the asymptotic normalization coefficients and the asymptotic $D/S$ ratio for ${}^6$Li, and reduced transition probabilities for the $\frac{3}{2}^- \to  \frac{1}{2}^-$ electric quadrupole and magnetic dipole transitions of ${}^7$Li.